Permutation Applets

Here you will find the collection of applets written by André Heck and Leendert van Gastel for the Chapter on Permutations in the interactive text on algebra. This package is part of the IDA project at the University of Eindhoven. The package consists of
  1. a computational engine
  2. an applet showing different appearences of a permutation
  3. a calculator applet that can be used as a tool
  4. a game applet, that intuitionalizes the theorem that any even permutation can be written as a product of 3-cycles.

Different Appearences

The goal of the tabloid applet is to show different appearences of a permutation. The different appearences can be edited. A change in one, leads to updated versions in the others. We have here four different formats:
  1. list of cycles
  2. list of images of the numbers involved
  3. arrow view of the mapping (looks like mikado)
  4. the associated matrix
The following optional HTML parameters may be set:
matrix
"yes" means that the associated matrix is shown, "no" means that it is not shown
arrows
"yes" means that the arrow view is shown, "no" means that it is not shown
bijection
"yes" means that the list of images of the bijection is shown, "no" means that it is not shown
cyclelist
"yes" means that the list of cycles is shown, "no" means that it is not shown
backgroundcolor
"FFFFFF" means white, "000000" means black
Some remarks:

The Permutation Calculator Applet

Inspired by the calculators of Gord Simons, we developed a Permutation Calculator that offers the most common operations. Just push

The following optional HTML parameters may be set:
maximumsize
determining the maximum number of letters n of Sn. The only restriction is due to the capacity of TextField, which may differ among various platforms.
backgroundcolor
"FFFFFF" means white, "000000" means black
fontsize
"14" will give a 14-point fontsize